Finite Group Databasebeta

← Group #13156552

Character table — Group #13156552

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
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χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
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χ958-88-88-4-4008-44-84-44-84-4-42-44-442-24-24000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ968-88-8-48-400-48-844-444-8-42-4-442-2-4444-2000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-400-4-4444-44442222-22-22-2-2-2-200006i−6i006i−6i-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000
χ988-88-8-4-4-400-4-4444-44442222-22-22-2-2-2-20000−6i6i00−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000
χ998-8-888-4-400-844-844-48-4-4-424-44-4-224-2400000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-4004-8-8444-4-48-42-44-4-224-444-200000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-400444444-4-4-4222-22-22-22-2-2-200006i−6i00−6i6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-400444444-4-4-4222-22-22-22-2-2-20000−6i6i006i−6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.